Staff Selection Commission Sub Inspector Exam
Question : Find the value of $a$ in the following equation. (Given $a<10 $) $\frac{(187 \div 17 \times a-3 \times 3)}{\left(8^2-9 \times 7+a^2\right)}=1$
Option 1: 2
Option 2: 1
Option 3: 4
Option 4: 3
Correct Answer: 1
Solution : $\frac{(187 \div 17 \times a-3 \times 3)}{\left(8^2-9 \times 7+a^2\right)}=1$ $⇒\frac{(11a-9)}{\left(a^2+1\right)}=1$ $⇒11a - 9 = a^2 + 1$ $⇒a^2 - 11a + 10 = 0$ $⇒(a - 10)(a - 1) = 0$ $⇒a = 10$ and $a = 1$ Since $a<10$ So, $a = 1$ Hence,
Question : Which of the following activities is also referred to as the "Gold Collar" profession?
Option 1: Secondary
Option 2: Quaternary
Option 3: Primary
Option 4: Quinary
Correct Answer: Quinary
Solution : The correct answer is the Quinary.
Quinary is also referred to as the “Gold Collar” profession. They represent another subdivision of the tertiary sector, which symbolises special and highly paid skills of financial and legal consultants, research assistants, government officials, etc. White Collar profession
Question : When the radius of a sphere is increased by 5 cm, its surface area increases by 704 cm2. The diameter of the original sphere is _________. (Take $\pi=22 / 7$ )
Option 1: 8.2 cm
Option 2: 6.8 cm
Option 3: 5.2 cm
Option 4: 6.2 cm
Correct Answer: 6.2 cm
Solution : Let the radius of the sphere be $r$ cm = 4$\pi r^{2}$. New radius = $r + 5$ According to the question, 4$\pi (r + 5)^{2}$ = 704 ⇒ 4$\pi[(r + 5)^{2} - r^{2}$] = 704 ⇒ 4 × $\frac{22}{7}[r^{2} + 25 + 10r
Question : Directions: Two positions of the same cubical block are shown. When one of the faces W is at the top, which face will be at the bottom?
Option 1: Z
Option 2: Y
Option 3: X
Option 4: B
Correct Answer: X
Solution : Taking both dice positions with X as the common face –
Moving clockwise from the common face with X –
Pairs of opposite faces –
So, the opposite face to the face containing W is X. Hence, the third option is correct.
Question : Anil started a business with an investment of Rs. 25,000. After 3 months, Vishal joined his business with a capital of Rs.30,000. At the end of the year, they have made a profit of Rs. 19,000. What will be Anil's share of the profit?
Option 1: Rs. 10,000
Option 2: Rs. 12,500
Option 3: Rs. 10,250
Option 4: Rs. 14,000
Correct Answer: Rs. 10,000
Solution : Given: Total profit = Rs. 19,000 According to the question, The ratio of the equivalent capitals of Anil and Vishal for 1 year: = (25000 × 12) : (30000 × 9) = (25 × 12) : (30 × 9) = 10 : 9 The
Question : Directions: Read the sentence to find out whether there is any grammatical or idiomatic error in it. The error, if any, will be in one part of the sentence. The number of that part is the answer. If there is no error, the answer is (4).
Can you imagine (1) / that she has thirty (2) / five pair of shoes. (3) / No Error (4)
Option 1: 1
Option 2: 2
Option 3: 3
Option 4: 4
Correct Answer: 3
Solution : The error lies in the third part of the sentence.
The correction is to change "pair" to "pairs" because the correct plural form of "pair" is "pairs" when referring to multiple pairs of shoes. "Pair" means only one pair of two shoes. Here, thirty-five is
Question : The Battle of Buxar was fought between the forces under the command of the British East India Company led by Hector Munro, and the combined armies of______.
Option 1: Mir jafar, Siraj-ud-Daulah, and Mughal Emperor Shah Alam II
Option 2: Mir Qasim, Mughal Emperor Shah Alam, and Shuja-ud-Daula of Awadh
Option 3: Mir Jafar, Mughal Emperor Bahadur Shah II, Shuja-ud-Daula
Option 4: Siraj-ud-Daulah, Shuja-ud-Daula, Mughal Emperor Shah Alam II
Correct Answer: Mir Qasim, Mughal Emperor Shah Alam, and Shuja-ud-Daula of Awadh
Solution : The correct option is Mir Qasim, Mughal Emperor Shah Alam and Shuja-ud-Daula of Awadh.
The Battle of Buxar was fought on October 22, 1764, and it involved the forces of the British East India Company, and
Question : Two towns A and B are 500 km apart. A train starts at 8 AM from A towards B at a speed of 70 km/hr at 10 AM, another train starts from B towards A at a speed of 110 km/hr. When will the two trains meet?
Option 1: 1 PM
Option 2: 12 Noon
Option 3: 12.30 PM
Option 4: 1.30 PM
Correct Answer: 12 Noon
Solution : Let 't' be the time taken to meet by the two trains when the train from town A leaves at 8 AM. Distance covered in t hours at 70km/hr + Distance covered in (t – 2) hours at 110 km/hr = 500 km [Use:
Question : Directions: In a certain code language, ABSOLUTE is written as ESBLOTUA. How will the CALENDAR be written in that code language?
Option 1: RLAENADC
Option 2: RLANEADC
Option 3: RALNEADC
Option 4: RANLAEDC
Correct Answer: RLANEADC
Solution : Given: ABSOLUTE is written as ESBLOTUA –
Shuffle the position of the letters of ABSOLUTE, to obtain the required code –
Thus, ABSOLUTE is coded as ESBLOTUA. Similarly, follow the same pattern for CALENDAR –
So, CALENDAR is coded as RLANEADC. Hence, the second option
Question : Directions: In the following question, select the related number from the given alternatives. 8 : 512 :: 6 : ?
Option 1: 216
Option 2: 312
Option 3: 408
Option 4: 512
Correct Answer: 216
Solution : Given: 8 : 512 :: 6 : ?
83 = 512 (512 is the cube of 8) Similarly, 63 = 216 (216 is the cube of 6)
Hence, the first option is correct.
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